In this paper we examine a question: `how much the HHL algorithm uses the quantum entanglement efficiently?'.
In order to explore this issue we compute the tripartite entanglement in every steps of the HHL algorithm by choosing an experimental realization of the algorithm presented in Ref. [1]}.
Since the HHL algorithm is known to be optimal[2]} in the matrix inversion task and entanglement is known as a physical resource, we expect that much entanglement is created and finally annihilated during the process of the algorithm.
However, it turns out that maximal tripartite entanglement is not created except very rare cases. As expected, all created entanglement is annihilated at the final step of the algorithm.
